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arXiv · 1902.11225

On The Coefficient Conjecture of Clunie and Sheil-Small

Yaşar Polatoğlu·Oya Mert·Asena Çetinkaya
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Abstract

In this paper, we first prove relation between analytic and co-analytic part of the class harmonic univalent functions S_H(S):={f = h+\overline g|h is element of S} by means of second dilatation is constant. Next, we verify the coefficient conjecture of Clunie and Sheil-Small for class of harmonic univalent functions. Finally, we obtain distortion bounds of this class.

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Yaşar Polatoğlu, Oya Mert, Asena Çetinkaya. 2019-02-28. On The Coefficient Conjecture of Clunie and Sheil-Small. https://arxiv.org/abs/1902.11225

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